Examination of two regularized damage-plasticity models for concrete with regard to crack closing

Wosatko, Adam; Genikomsou, Aikaterini S.; Pamin, Jerzy; Polak, Maria Anna; Winnicki, A.

doi:10.1016/j.engfracmech.2018.03.002

Cited by 38 publications

(12 citation statements)

References 57 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Thus, the brittle modelling of concrete in tension seems to be a reasonable approach. For structures made of plain or lightly reinforced concrete, however, more sophisticated material models may be necessary (with appropriate regularisation technique; see Reference [ 72 ]).…”

Section: Discussionmentioning

confidence: 99%

Numerically Efficient Three-Dimensional Model for Non-Linear Finite Element Analysis of Reinforced Concrete Structures

Dudziak

2021

Materials

View full text Add to dashboard Cite

The paper concerns the non-linear finite element analysis (NLFEA) of Reinforced Concrete (RC) structures for engineering applications. The required level of complexity of constitutive models for such analysis was discussed and non-linear elastic models combined with the smeared cracking approach proved to be efficient. A new constitutive hypoelastic-brittle model of concrete based on these assumptions was proposed. Moreover, a method including the tension stiffening effect (TS) was developed. This phenomenon is connected with the bond properties between concrete and steel and, in some situations, has significant influence on the deflections of RC structures. It is often neglected by or included in the constitutive model of concrete. In the paper, an alternative approach was presented, in which this phenomenon is taken into account by generalising the material model of reinforcing steel. This approach is consistent with modern design standards and has solid physical foundations. The proposed models were implemented in the Abaqus code via UMAT user’s procedure coded in FORTRAN. Model verification and validation were presented in four case studies, concerning: a Willam’s test (examination on material point level), a beam with bending failure, and two beams with shear failure (with and without stirrups). The obtained results were compared with experimental outcomes and numerical results obtained by other researchers. The presented approach enables the accurate prediction not only of load capacity but of structural deformability, due to the precise description of TS. Thus, it promises to be a useful engineering tool.

show abstract

Section: Discussionmentioning

confidence: 99%

Numerically Efficient Three-Dimensional Model for Non-Linear Finite Element Analysis of Reinforced Concrete Structures

Dudziak

2021

Materials

View full text Add to dashboard Cite

show abstract

“…The results for pure scalar damage model and the two different definitions of the equivalent strain measure are firstly compared. Figure 12a depicts the diagrams of stress components for the Mazars definition given in Equation (22), while Figure 12b illustrates the solution obtained for the modified von Mises measure defined in Equation (23). A more rapid decrease of stresses is noted for the second option.…”

Section: Damage-plasticity (Dap)mentioning

confidence: 99%

“…Variable ω t reduces the stiffness in tension and consequently ω c -in compression, while functions s c (σ) and s t (σ) are responsible for stiffness recovery. A wider discussion of the damage definition in the CDP model and of the crack closing phenomenon can be found in [23].…”

Section: Concrete Damaged Plasticity (Cdp)mentioning

confidence: 99%

Selected Concrete Models Studied Using Willam’s Test

2020

Self Cite

View full text Add to dashboard Cite

Willam’s test is a quick numerical benchmark in tension–shear regime, which can be used to verify inelastic (quasi-brittle) material models at the point level. Its sequence consists of two separate steps: uniaxial tension accompanied with contraction—until the tensile strength is attained; and next for softening (cracking) of the material—tension in two directions together with shear. A rotation of axes of principal strains and principal stresses is provoked in the second stage. That kind of process occurs during the analysis of real concrete structures, so a correct response of the material model at the point level is needed. Some familiar concrete models are selected to perform Willam’s test in the paper: concrete damaged plasticity and concrete smeared cracking—distributed in the commercial ABAQUS software, scalar damage with coupling to plasticity and isotropic damage—both implemented in the FEAP package. After a brief review of the theory, computations for each model are discussed. Passing or failing Willam’s test by the above models is concluded based on their results, indicating restrictions of their use for finite element computations of concrete structures with predominant mixed-mode fracture.

show abstract

“…It should be noted that the above limitations do not affect the mathematical model of non-linear deformations related to cracking or damage [36,37]. An improved continuous medium model can be used in order to eliminate irregularities in the mathematical model for weakened material (getting rid of the pathological dependence of the discrete solution on the mesh) [39,40].…”

Section: Assumptions For the Numerical Model And Geometrical Modelmentioning

confidence: 99%

Material Analysis of Steel Fibre Reinforced High-Strength Concrete in Terms of Flexural Behaviour. Experimental and Numerical Investigation

et al. 2020

View full text Add to dashboard Cite

The paper presents the results of tests for flexural tensile strength (fct,fl) and fracture energy (Gf) in a three-point bending test of prismatic beams with notches, which were made of steel fibre reinforced high-strength concrete (SFRHSC). The registration of the conventional force–displacement (F–δ) relationship and unconventional force-crack tip opening displacement (CTOD) relationship was made. On the basis of the obtained test results, estimations of parameters fct,fl and Gf in the function of fibre reinforcement ratio were carried out. The obtained results were applied to building and validating a numerical model with the use of the finite element method (FEM). A non-linear concrete damaged plasticity model CDP was used for the description of the concrete. The obtained FEM results were compared with the experimental ones that were based on the assumed criteria. The usefulness of the flexural tensile strength and fracture energy parameters for defining the linear form of weakening of the SFRHSC material under tension, was confirmed. Own equations for estimating the flexural tensile strength and fracture energy of SFRHSC, as well as for approximating deflections (δ) of SFRHSC beams as the function of crack tip opening displacement (CTOD) instead of crack mouth opening displacement (CMOD), were proposed.

show abstract

Examination of two regularized damage-plasticity models for concrete with regard to crack closing

Cited by 38 publications

References 57 publications

Numerically Efficient Three-Dimensional Model for Non-Linear Finite Element Analysis of Reinforced Concrete Structures

Numerically Efficient Three-Dimensional Model for Non-Linear Finite Element Analysis of Reinforced Concrete Structures

Selected Concrete Models Studied Using Willam’s Test

Material Analysis of Steel Fibre Reinforced High-Strength Concrete in Terms of Flexural Behaviour. Experimental and Numerical Investigation

Contact Info

Product

Resources

About